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arXiv 1305.1122gr-qcastro-ph.HE
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3.5 PN近似下双星OJ287的引力波

Gravitational-Wave by Binary OJ287 in 3.5 PN Approximation

Y. Zhang, S. G. Wu, W. Zhao

摘要:

计算了超大质量双星黑洞OJ 287的引力辐射。通过对最近7次爆发数据的拟合,得到了3.5PN(后牛顿)量级的轨道运动、2PN量级的能量和角动量通量以及波形。发现能通量的1 PN项与牛顿通量符号相反,2 PN项与1 PN项符号相反。同样的模式也被发现的角动量通量。OJ 287的总通量比牛顿通量平均降低了30.8%,轨道衰变率比2.5PN的计算结果小。与此相结合,它是检查,在非耗散PN力的序列中,$i^{th}$阶(耗散或非耗散)的每个项具有相反的符号的$(i-1)^{th}$阶。这个特性的起源追溯到PN近似中非对角度量分量$g_{0i}$的出现。这一特征将对双星系统中引力波的估计产生深远的影响。

英文摘要:

We compute the gravitational radiation of the supermassive binary black hole OJ287. By fitting the data of its recent seven outbursts, we obtain the orbital motion up to 3.5PN (Post-Newtonian) order, the energy and angular momentum fluxes and the waveform up to the 2PN. It is found that the 1PN term of the energy flux, has an opposite sign to the Newtonian flux, and the 2PN term has an opposite sign to the 1PN one. The same pattern is also found for the angular momentum fluxes. The total flux is reduced by 30.8% on average from the Newtonian flux for OJ287, resulting in a smaller orbital decay rate than that of 2.5PN calculation. Consisting with this, it is checked that, in the sequence of non-dissipative PN forces, each term of $i^{th}$ order (dissipative or non-dissipative) has a sign opposite to the $(i-1)^{th}$ order. The origin of this characteristic is traced to the appearance of the non-diagonal metric component $g_{0i}$ in PN approximation. This feature will have profound impact on estimation of gravitational waves from binary systems.

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